arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0811.3643astro-ph
收藏

Quintom宇宙学方案的内部空间结构推广

Internal space structure generalization of the quintom cosmological scenario

Luis P. Chimento, Mónica Forte, Ruth Lazkoz, Martín G. Richarte

摘要:

在具有常度规$Q_{ik}$的$N$维内空间中引入了多标量场位形的拉格朗日量,推广了五分宇宙学方案。我们发现的能量动量张量的模型,并表明,一组的对偶变换,保持形式的爱因斯坦方程的Friedmann-Robertson-Walker(FRW)宇宙学,扩大。我们表明,幂律解的稳定性导致一个指数的潜在的线性变换下,在内部空间是不变的。此外,我们得到了Einstein-Klein-Gordon方程的一般精确解。存在跨越幻影鸿沟的解决方案和在有限时间爆炸的解决方案,表现出超加速行为并以大裂缝结束。我们证明了具有可分离势的五汤姆模型可以用几种流体的混合物来识别。这个框架包括$Λ$ CDM模型、一个弹跳模型和一个由宇宙弦网络加上一个宇宙学常数构成的背景。我们集中于内部精华扇区$N_{q}$的尺寸超过内部幻影扇区$N_{ph}$的尺寸的情况。对于$(N_q,N_{ph})=(2,1)$,来自3-标量场的暗能量密度穿过幻影分界线,其负分量扮演经典狄拉克场的负部分的角色。

英文摘要:

We introduce the Lagrangian for a multi-scalar field configuration in a $N$-dimensional internal space endowed with a constant metric $Q_{ik}$ and generalize the quintom cosmological scenario. We find the energy momentum tensor of the model and show that the set of dual transformations, that preserve the form of the Einstein equations in the Friedmann-Robertson-Walker (FRW) cosmology, is enlarged. We show that the stability of the power law solutions leads to an exponential potential which is invariant under linear transformations in the internal space. Moreover, we obtain the general exact solution of the Einstein-Klein-Gordon equations for that potential. There exist solutions that cross the phantom divide and solutions that blow up at a finite time, exhibiting a superaccelerated behavior and ending in a big rip. We show that the quintom model with a separable potential can be identified with a mixture of several fluids. This framework includes the $Λ$CDM model, a bouncing model, and a setting sourced by a cosmic string network plus a cosmological constant. The we concentrate on the case where the dimension of the internal quintessence sector $N_{q}$ exceeds the dimension of the internal phantom sector $N_{ph}$. For $(N_q,N_{ph})=(2,1)$ the dark energy density derived from the 3-scalar field crosses the phantom divide and its negative component plays the role of the negative part of a classical Dirac Field.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑